The equation of a line that is parallel to 3x=4y and has the same y-intercept as 2x-3y=6 is:
y = (3/4)*x - 2
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How to get the equation of the line?</h3>
A general linear equation is written as:
y = a*x + b
Where b is the y-intercept and a is the slope.
Such that two lines are parallel if the lines have the same slope but different y-intercepts.
So, if we want to have a line parallel to:
3x = 4y
y = (3/4)*x
Then the slope must be 3/4.
And the line must have the same y-intercept than:
2x - 3y = 6.
We can rewrite that to get:
-3y = 6 - 2x
y = (6/-3) + (2/3)*x
y = (2/3)*x - 2
So this linear equation has a y-intercept equal to -2, then our linear equation is:
y = (3/4)*x - 2
If you want to learn more about linear equations:
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Answer:
A
Step-by-step explanation:
x= -14.5
Step-by-step explanation:
-1.3=x-(-13.2)
the two - signs cross eachother out, making it a +.
making the equation -1.3=x-(-13.2) turn into -1.3=x+13.2.
so you should automatically know your x is going to have to be negative.
What I did:
13.2+1.3=14.5,
but since the 1.3 was actually negative, (-1.3) the 14.5 will turn negative, making it -14.5
Answer:
Step-by-step explanation:
We would apply the formula for exponential decay which is expressed as
A = P(1 - r/n)^ nt
Where
A represents the value after t years.
n represents the period for which the decrease in value is calculated
t represents the number of years.
P represents the value population.
r represents rate of decrease.
From the information given,
P = 23000
r = 8% = 8/100 = 0.08
n = 1
Therefore, the exponential decay function described in this situation is
A = 23000(1 - 0.08/n)1)^ 1 × t
A = 23000(0.92)^t
If A = 15000, then
15000 = 23000(0.92)^t
0.92^t = 15000/23000 = 0.6522
Taking log of both sides to base 10
Log 0.92^t = log 0.6522
tlog 0.92 = log 0.6522
- 0.036t = - 0.1856
t = - 0.1856/- 0.036
t = 5 years to the nearest year
Answer:
The hummingbird beats its wings 86 400 times in one hour.
Step-by-step explanation:
There are 60 minutes in an hour. There are 60 seconds in a minute.
1h = 60m
= 60 × 60s
= 3600s
1s = 24 times
3600s = 24 × 3600
= 86 400 times